GATE AE purpose:exam-prep PYQs & Answers — Page 30

Questions 291–300 of 650. Imported answers require independent review unless marked reviewed.

The arc length of the parametric curve:

from

is equal to ______ (round off to one decimal place).

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An unpowered glider is flying at a glide angle of 10 degrees. Its lift-to-drag ratio is ______________ (round off to two decimal places).

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The two-dimensional plane-stress state at a point is:

The normal stress,

, on a plane inclined 45° as shown in the figure is ___

(round off to the nearest integer).

Diagram for Aerospace Engineering question 33

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In a static test, a turbofan engine with bypass ratio of 9 has core hot exhaust speed 1.5 times that of fan exhaust speed. The engine is operated at a fuel to air ratio of

. Both the fan and the core streams have no pressure thrust. The ratio of fan thrust to thrust from the core engine is _____ (round off to one decimal place).

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In a single stage turbine, the hot gases come out of stator/ nozzle at a speed of 500 m/s and at an angle of 70 degrees with the turbine axis as shown. The design speed of the rotor blade is 250 m/s at the mean blade radius. The rotor blade angle,

, at the leading edge is ________ degrees (round off to one decimal place).

Diagram for Aerospace Engineering question 35

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The height of a right circular cone of maximum volume that can be enclosed within a hollow sphere of radius

Your answerChoose one option.

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Consider the differential equation

. The boundary conditions are

and

. Then the value of

Your answerChoose one option.

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Consider the partial differential equation

where

are real. If

, where

and

are real functions, which one of the following statements can be true?

Your answerChoose one option.

is a periodic function and

is a linear function

both

and

are exponential functions

is a periodic function and

is an exponential function

both

and

are periodic functions

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A cylindrical object of diameter 900 mm is designed to move axially in air at 60 m/s. Its drag is estimated on a geometrically half-scaled model in water, assuming flow similarity. Coefficients of dynamic viscosity and densities for air and water are

Pa-s, 1.2 kg/m

and

Pa-s, 1000 kg/m

respectively. Drag measured for the model is 220 N. Drag experienced by the full-scale object is ____ N (round off to the nearest integer).

Your answerChoose one option.

644

1288

2576

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Consider a conventional subsonic fixed-wing airplane.

is the Oswald efficiency factor and

is the aspect ratio. Corresponding to the minimum

, which of the following relations is true?

Your answerChoose one option.

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GATE AE purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40